IGNOU MCS 66 2026 2027 - The following marks (out of 100) were obtained by 30 students: (5 Mark

Question

The following marks (out of 100) were obtained by 30 students: (5 Marks)
42, 55, 67, 72, 48, 63, 59, 74, 81, 65, 58, 69, 77, 84, 71, 62, 57, 66, 73, 60, 75, 79, 68, 64, 53, 70, 61, 56,
76, 82
Construct:
 a frequency distribution,
 relative frequency table,
 histogram,
 ogive, and
 stem-and-leaf plot.

03 Aug 2026

Answer :

Word Count : 484

The given marks of 30 students are: 42, 55, 67, 72, 48, 63, 59, 74, 81, 65, 58, 69, 77, 84, 71, 62, 57, 66, 73, 60, 75, 79, 68, 64, 53, 70, 61, 56, 76, 82 The range of marks is from 42 to 84. Taking class intervals of width 10, the frequency distribution is: | Marks Interval | Frequency (f) | | -------------- | ------------: | | 40–49 | 2 | | 50–59 | 6 | | 60–69 | 10 | | 70–79 | 9 | | 80–89 | 3 | | Total | 30 | The relative frequency is calculated by using the formula: Relative Frequency = Frequency / Total Frequency | Marks Interval | Frequency (f) | Relative Frequency | | -------------- | ------------: | -----------------: | | 40–49 | 2 | 0.067 | | 50–59 | 6 | 0.200 | | 60–69 | 10 | 0.333 | | 70–79 | 9 | 0.300 | | 80–89 | 3 | 0.100

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